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On Sears’s general transformation formula for basic hypergeometric series

by: Song Chan
The Ramanujan Journal, doi:10.1007/s11139-008-9141-1  Key: citeulike:3899049

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Abstract

Abstract  We present a new proof of a general transformation formula for basic hypergeometric series that was discovered by D.B. Sears (Proc. Lond. Math. Soc. 53(2): 181–191, 1951) and discuss some special cases. Next we apply Sears’s general transformation to give an extension of a result of Andrews et al. (Duke Math. J. 108: 395–419, 2001).


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